Question

What is the slope of the equation y-3 = -4(x - 5)?
-4
-3
20
23

Answer 1

Equations

In order to find the slope for this line, look at the number in front of the parentheses.

Given equation:

`\Diamond\quad\sf{y-3=-4(x-5)}`

The number in front of the parentheses is -4.

Therefore, it's our slope.

Note: This method of finding the slope only works for point-slope. For other lines, there are other ways.

Answer 2

`\Large \boxed{\sf -4}`

Explanation:

→ We want to find the slope of this equation:

`\sf y-3 = -4(x - 5)`

→ Let's solve y in the equation:

◼ Simplify the right side:

`\sf y-3 = -4x +20`

◼ Add 3 to both sides:

`\sf y-3 +3= -4x +20+3`

◼ Simplify both sides:

`\sf y = -4x +23`

→ The slope is m = -4, and the y-intercept is b = 23.

Conclusion:

The slope of the equation y - 3 = -4(x - 5) is -4.